The generator matrix

 1  0  0  0  1  1  1  0  0 X^2 X^2  1  1  1  1  1 X^2+X X^2+X  1  1  X  1 X^2+X  1  1  X X^2+X X^2  1  1  1  1 X^2+X  0  0  1  1  1 X^2  X X^2+X  1  0  1  0  1  1  1  0 X^2 X^2 X^2+X  1  1  X  1  1  X X^2+X  0  X  1  1 X^2  1  1  1 X^2+X  1  0  1  1  1  X  X  1  1 X^2+X  1 X^2  1  1 X^2  1  1  0  1  1  1  0  1 X^2  1 X^2+X X^2  1 X^2 X^2+X
 0  1  0  0  0  1  1  1 X^2  1  1  0  1  1  0  X  X  1 X^2+1 X^2+X  1  1  1  X  1  1  X  0 X^2 X+1 X^2+X X+1 X^2 X^2+X  1  X X^2+X X^2  1  1  1 X+1  X X^2  1  0 X+1 X^2+X+1  1  1  1  1 X+1 X^2+X+1  1  1  X X^2  1  1  1 X^2+X X^2+X X^2+X X+1  0  X  1 X^2+X+1 X^2+X X^2 X^2+X  X  1 X^2 X^2  1  0 X+1  1  0 X^2+X  1 X^2+X X^2  1 X+1 X^2 X^2+1  X X^2+1  1  0  1  1  X  0  1
 0  0  1  0  1 X^2 X^2+1  1  1  0  1 X^2  1  0 X^2+1 X^2  1  X X^2+X X^2+1 X^2+1  X X^2+1  0 X+1  0 X^2  1 X^2+X+1 X+1  1 X^2  1  X  1 X^2+X  X  1 X^2 X^2+X X^2+X+1 X^2+1  1 X^2+X X^2+X+1 X^2+X+1  X X^2+1 X+1 X^2+X X^2+1  0 X+1 X^2+X X^2  0  X X^2 X^2+X  X X+1  0 X+1 X^2 X^2+X+1 X^2+X+1 X^2 X^2+1 X+1  1  1  1 X+1  1  1  X  1 X^2+X  0 X^2+X X^2 X+1 X+1 X^2+X+1 X^2+X X^2  1  X  1  1 X^2+X  1 X^2+X  1 X^2+X+1  X  1  0
 0  0  0  1 X^2  0 X^2 X^2  1  1 X^2+1  1  1 X^2+1 X^2+1 X^2+X X+1 X^2  0  0 X^2+X+1 X+1  0  1 X^2+X  1  1  X X+1 X^2+1 X^2+X X+1  1  1 X^2+X X^2+1  X X+1  X  1  0 X^2  0 X^2 X^2+1 X^2  1  1  X X^2+X X^2+X+1 X^2+X  X X^2+X X+1 X^2+X+1 X^2+X+1  1 X^2+X X^2+X+1 X^2+1 X+1 X^2+X+1  1 X^2+X+1 X^2+X  0  1  X  X X^2+X X^2+X+1 X^2 X^2+X X^2+X+1  X  X  1 X^2+X X^2+1 X^2+X+1 X^2+1  0 X^2+X  1 X+1 X^2+X  0 X+1 X+1  X X+1  0 X^2+X+1 X+1 X^2+1 X^2+X+1  0

generates a code of length 98 over Z2[X]/(X^3) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+460x^92+744x^94+856x^96+632x^98+486x^100+296x^102+233x^104+156x^106+122x^108+44x^110+45x^112+12x^114+4x^116+4x^118+1x^120

The gray image is a linear code over GF(2) with n=392, k=12 and d=184.
This code was found by Heurico 1.11 in 16.3 seconds.